Zhi-Da Song
Assistant Professor
Contact Info
Office： W671
Email：songzd@pku.edu.cn
Education
|
Degree |
Year |
Major |
Institution |
|
Ph.D. |
2013-2018 |
Theoretical Physics |
Institute of Physics, Chinese Academy of Sciences |
|
B.S. |
2009-2013 |
Microscopic Electronics |
University of Electronic Science and Technology of China |
Professional Appointments
| Year | Position | Institution |
| 2021-Now | Assistant Professor | Peking University |
| 2018-2021 | Postdoctoral Research Associate | Princeton University |
Research and Teaching
I work in the field of condensed matter theory, with research focusing on topological phases, moiré systems, and disordered systems. I am currently particularly interested in correlation and topology in flat bands. I have joined the ICQM since late 2021. In 2022, I was supported by the National Science Fund for Excellent Young Scientists (Overseas). As of June 2025, I have published over 70 papers, with an h-index of 45 and over 10,000 citations. Representative contributions include:
- Complete classification of topological bands and the mapping from symmetry-based indicators to topological invariants, enabling high-throughput search for topological materials.
- Development of a theoretical framework for topology, correlation, and superconductivity in magic-angle twisted bilayer graphene, introducing a topological heavy fermion model widely used in the field.
- First complete mathematical classification of 3D spin-space groups for characterizing unconventional magnetism.
For a complete publication list, please visit:
https://scholar.google.com/citations?hl=en&user=85T_dPEAAAAJ
In teaching, I offer the graduate course Quantum Statistical Physics, which is open to both graduate and undergraduate students.
Recent Publications
[1] Intrinsic Axion Statistical Topological Insulator, X. Chen, F.-J. Wang, Z. Bi, and Z.-D. Song, Phys. Rev. Lett. 134, 226601 (2025).
[2] Molecular Pairing in Twisted Bilayer Graphene Superconductivity, Y.-J. Wang, G.-D. Zhou, S.-Y. Peng, B. Lian, and Z.-D. Song, Phys. Rev. Lett. 133, 146001 (2024).
[3] Spin Space Groups: Full Classification and Applications, Z. Xiao, J. Zhao, Y. Li, R. Shindou, and Z.-D. Song, Phys. Rev. X 14, 031037 (2024).
[4] Kondo phase in twisted bilayer graphene, G.-D. Zhou, Y.-J. Wang, N. Tong, and Z.-D. Song, Phys. Rev. B 109, 045419 (2024).
[5] Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry, F.-J. Wang, Z.-Y. Xiao, R. Queiroz, B. A. Bernevig, A. Stern, and Z.-D. Song, Nat Commun 15, 3069 (2024).
[6] Magic-Angle Twisted Bilayer Graphene as a Topological Heavy Fermion Problem, Z.-D. Song and B. A. Bernevig, Phys. Rev. Lett. 129, 047601 (2022).
Other Representative Publications
[7] Twisted bulk-boundary correspondence of fragile topology, Z.-D. Song, L. Elcoro, and B. A. Bernevig, Science 367, 794 (2020).
[8] Real-space recipes for general topological crystalline states, Z. Song, C. Fang, and Y. Qi, Nat Commun11, 1 (2020).
[9] Catalogue of topological electronic materials, T. Zhang, Y. Jiang, Z. Song, H. Huang, Y. He, Z. Fang, H. Weng, and C. Fang, Nature 566, 475 (2019).
[10] Hear the Sound of Weyl Fermions, Z. Song and X. Dai, Phys. Rev. X 9, 021053 (2019).
[11] Topological states from topological crystals, Z. Song, S.-J. Huang, Y. Qi, C. Fang, and M. Hermele, Science Advances 5, eaax2007 (2019).
[12] Quantitative mappings between symmetry and topology in solids, Z. Song, T. Zhang, Z. Fang, and C. Fang, Nat Commun 9, 3530 (2018).
[13] (d-2)-Dimensional Edge States of Rotation Symmetry Protected Topological States, Z. Song, Z. Fang, and C. Fang, Phys. Rev. Lett. 119, 246402 (2017).
Opening Positions
I have one opening for graduate student per year.